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Finding the Fourth Proportional to 99,578.97, 149,295.56 and 46,959.75

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Solution

The fourth proportional to 99,578.97, 149,295.56 and 46,959.75 is: 70,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,578.97 : 149,295.56 = 46,959.75 : x
  2. Step 2: Convert to fraction form
    99,578.97/149,295.56 = 46,959.75/x
  3. Step 3: Cross multiply
    99,578.97x = 149,295.56 × 46,959.75
  4. Step 4: Simplify right side
    99,578.97x = 7,010,881,938.91
  5. Step 5: Solve for x
    x = 7,010,881,938.91/99,578.97
  6. Step 6: Final answer
    x = 70,405.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.